Answer:
15 ways
Step-by-step explanation:
The events "choosing one out of 5 chemists" and "choosing one out of 3 statisticians" are independent, and, therefore, the number of ways that both positions can be filled is determined by the product of the number of ways that each event can occur:
The college can fill these positions in 15 different ways.
Answer:
The correct answer to the following question will be "70.56".
Step-by-step explanation:
The given values are:
Loan requires, PV = $100,000
Years = 20
Number of months, n = 240
Rate interest = 4.90000%
Monthly rate, r = 0.408333%
Monthly rental payment = $725
As we know,
![PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]](https://tex.z-dn.net/?f=PV%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7Br%7D%29%5Ctimes%20%5B1-%5B%5Cfrac%7B1%7D%7B%281%2Br%29%5En%7D%5D%5D)
On putting the values in the above formula, we get
⇒ ![100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]](https://tex.z-dn.net/?f=100000%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7B0.004083333%7D%29%5Ctimes%20%5B1-%28%5Cfrac%7B1%7D%7B%281%2B0.004083333%5E%7B240%7D%29%7D%29%5D)
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Now,
On putting the values, we get
⇒ 
⇒ 
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
Answer:
Player II should remove 14 coins from the heap of size 22.
Step-by-step explanation:
To properly answer this this question, we need to understand the principle and what it is exactly is being asked.
This question revolves round a game of Nim
What is a game of Nim: This is a strategic mathematical game whereby, two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.
Now, referring back to the question, we should first understand that:
22₂ = 1 0 1 1 0
19₂= 1 0 0 1 1
14₂= 0 1 1 1 0
11₂= 0 1 0 1 1
and also that the “bit sums” are all even, so this is a balanced game.
However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....
(a^2+b^2)=(a+b)(a-b) in this case:
9w^2-16 so
(3w-4)(3w+4)
